neg log

Average Error: 0.0 → 0.0

Time: 15.5s

Precision: 64

Math

\[-\log \left(\frac{1}{x} - 1\right)\]

↓

\[-\log \left(\frac{1}{x} - 1\right)\]

C

double f(double x) {
        double r684393 = 1.0;
        double r684394 = x;
        double r684395 = r684393 / r684394;
        double r684396 = r684395 - r684393;
        double r684397 = log(r684396);
        double r684398 = -r684397;
        return r684398;
}

↓

double f(double x) {
        double r684399 = 1.0;
        double r684400 = x;
        double r684401 = r684399 / r684400;
        double r684402 = r684401 - r684399;
        double r684403 = log(r684402);
        double r684404 = -r684403;
        return r684404;
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[-\log \left(\frac{1}{x} - 1\right)\]

2. Final simplification 0.0

   \[\leadsto -\log \left(\frac{1}{x} - 1\right)\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))